Question

what does the transformation $f(x) \mapsto f(x - 1) + 6$ do to the graph of $f(x)$?
translates it 1 unit right and 6 units up
translates it 1 unit left and 6 units up
translates it 6 units left and 1 unit up
translates it 6 units left and 1 unit down

Explanation:

For function transformations, $f(x - h)$ shifts the graph of $f(x)$ right by $h$ units when $h>0$, and $f(x)+k$ shifts it up by $k$ units when $k>0$. Here, $h=1$ and $k=6$.

Answer:

translates it 1 unit right and 6 units up